Phyllotaxis
the spirals are counted, not admired
Generator

fragility-was-the-truncation

The share of runs that still have a lattice. The prediction was that a cut-off at this range would be as fragile as the truncation it replaces; it is not. Stating the neighbourhood as a function of distance did not merely make the old result honest — 100% of runs survive against 33%, at a scatter an inverse-cube rule cannot be told from.
Which lattices survive a fifth of a degree of noiseThe share of runs that still have a lattice. The prediction was that a cut-off at this range would be as fragile as the truncation it replaces; it is not. Stating the neighbourhood as a function of distance did not merely make the old result honest — 100% of runs survive against 33%, at a scatter an inverse-cube rule cannot be told from.loop cut at 3/√h, p = 133%27.78° of scatterexponential cut-off, p = 1100%0.68° of scatterexponential cut-off, p = 3100%0.82° of scatter6 runs each, separated by 0.2° of placement noisehalf-weight radius 1.5 spacings

Drawn at its defaults, in a neighbourhood written down as a claim. It takes no options at all, so every essay calling it gets this exact drawing.

Called by 1 essay

the blast radius of changing it

Where the angle comes from

The fragility belonged to the window

A pattern that exists only because the rule cannot see far was expected to be held together by that cut, and to fall over when nudged. It does — while the cut is a loop bound. Written down as a falloff at the same range, the same rule keeps every run under the same nudge, at a scatter an inverse-cube rule cannot be told from.

All 105 generators